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Illusion [34]
3 years ago
10

Identify the graph that correctly represents the inequality |x + 1| + 2 >  5.

Mathematics
2 answers:
svetlana [45]3 years ago
9 0

Answer: D. The last graph

Step-by-step explanation:

NeTakaya3 years ago
8 0
|x+1|\ \textgreater \ 3

The greater than 3 means that the graph will have a shaded region for when the absolute value of (x+1) is greater than 3.

The absolute value means that we are interested in the magnitude of x+1. That means that the the graph will be shaded where x+1 > 3, and where -x-1 > 3

If we solve both of these for x, we get:

x > 2 and x < -4

So the graph will look like the attached picture. Notice that the vertical lines are dotted rather than solid. This means that we are dealing with a greater than sign, not a greater than or equal to.

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<u><em>Answer:</em></u>

She stayed awake for 295 minutes today

<u><em>Explanation:</em></u>

<u>We are given that:</u>

Yesterday, she drank one cup

Today, she drank \frac{17}{42} of a cup more than yesterday

<u>This means that:</u>

Number of cups she drank today = 1+\frac{17}{42}=1\frac{17}{42}cups

Now, we know that she drinks \frac{2}{7} of a cup per hour any time she is not sleeping

We use cross multiplication to get the time she took to drink 1\frac{17}{42} cups

1 hour ...........................> \frac{2}{7} of a cup

?? hours ......................> 1\frac{17}{42} cups

Time taken = \frac{1\frac{17}{42}*1 }{\frac{2}{7} } = \frac{59}{12} = 4\frac{11}{12} hours

This means that she was awake for 4\frac{11}{12} hours

<u>Finally, we convert this to minutes:</u>

Knowing that 1 hour has 60 minutes, therefore:

She stayed awake for 4\frac{11}{12} * 60 = 295 minutes

Hope this helps :)

8 0
3 years ago
Read 2 more answers
Qual o valor de Pi ?
Igoryamba
<h2>Hello my friend.</h2>

The Pi value is approximately equal to 3.14.

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Answer:

whats the question?

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Too lazy to explain:

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Answer:

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Step-by-step explanation:

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